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Linear determinantal curves, compressed Gorenstein set of points and instanton bundles

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Abstract

This short note written on the occasion of Ph. Ellia’s 60th birthday is two-fold: (1) to explicitly construct linear determinantal curves \(C_t, D_t\subset \mathbb {P}^3\) meeting transversally along a 0-dimensional compressed Gorenstein set of points \(G_{b} \) with socle degree \(b\le 2t-2\), and (2) to associate to \(C_t\), \(D_t\) and \(G_{2t-3}\) a rank 2 instanton bundle \({\mathcal {E}}_t\) on \(\mathbb {P}^3\) with quantum number t.

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  1. Facultat de Matemàtiques, Department d’Àlgebra i Geometria, Gran Via des les Corts Catalanes 585, 08007, Barcelona, Spain

    Rosa M. Miró-Roig

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  1. Rosa M. Miró-Roig
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Correspondence to Rosa M. Miró-Roig.

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Part of the work for this paper was done while the author was sponsored by MTM2013-45075-P.

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Miró-Roig, R.M. Linear determinantal curves, compressed Gorenstein set of points and instanton bundles. Rend. Circ. Mat. Palermo, II. Ser 66, 125–135 (2017). https://doi.org/10.1007/s12215-016-0267-5

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  • DOI: https://doi.org/10.1007/s12215-016-0267-5

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